TY - JOUR
T1 - The Coupling of NBEM and FEM for Quasilinear Problems in a Bounded or Unbounded Domain with a Concave Angle
AU - Baoqing Liu & Qikui Du
JO - Journal of Computational Mathematics
VL - 3
SP - 308
EP - 325
PY - 2013
DA - 2013/06
SN - 31
DO - http://doi.org/10.4208/jcm.1212-m3906
UR - https://global-sci.org/intro/article_detail/jcm/9736.html
KW - Quasilinear elliptic equation, Concave angle domain, Natural integral equation.
AB - <p style="text-align: justify;">Based on the Kirchhoff transformation and the natural boundary element method, we investigate a coupled natural boundary element method and finite element method for quasi-linear problems in a bounded or unbounded domain with a concave angle. By the principle of the natural boundary reduction, we obtain natural integral equation on circular arc artificial boundaries, and get the coupled variational problem and its numerical method. Moreover, the convergence of approximate solutions and error estimates are obtained. Finally, some numerical examples are presented to show the feasibility of our method. Our work can be viewed as an extension of the existing work of H.D. Han et al..</p>